E-Book





Sebastian in Shape City
By Kim Williams
Fall 2007
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Grade 2
M2G1:
Students will describe and classify plane figures ( triangles, squares, rectangles,trapezoids, quadrilateral, pentagons, hexagons, and irregular polygonal shapes) according to number of edges and vertices and the sizes of angles (right, obtuse, acute).


sqaure                      hex                   square                    pentagon                      star                triangle

Page 1






















walking
 This E -Book is a great way to learn about different geometic shapes.

Meet Sebastian! Come take a walk through the city with him and explore the different shapes that we find all around us, especially in Shape City! Also, at the end of every page is question or activity to test what you have learned. Have a nice stroll!

Page 2

















onbuilding    Triangles

  Triangle must be 3-sided, a plane or two-dimensional figure, in which the sum of the interior angles equals exactly 180 degrees. Triangles have three vertices.

Equilateral Triangle: three equal sides
Isosceles Triangle: Isosceles means “equal legs,”. It has two equal sides.
Scalene Triangle: Scalene means "uneven," and a scalene triangle has  three unequal sides.
Acute Triangle. In an acute triangle, the largest internal angle is acute – less than 90°. This means that all the angles are acute.
Right Triangle. In a right triangle, there is one right angle – an angle of exactly 90°. This means that the other two angles will be acute.
Obtuse Triangle. In an obtuse triangle, one internal angle is obtuse. This means, again, that the other two angles will be acute.

walking
Can you classify these picture of triangles?

triangles


Page 3














building
Squares
A square is a plane with four equal sides. The vertex of a square forms a 90 degree or right angle. There are four vertices in a sqaure, so that means it also has four right angles.
plane


walking
How many sqauares do you see?

             eight squares 

          Page 4














building Rectangles
A plane whose opposite sides are parallel and equal. It has two long sides and two short sides. Like a square, rectangles also have four vertices that create 90 degree or right angles. The difference is all four sides of a rectangle are NOT equal.                                                             
city
 Which one is a rectangle?
tangle
Page 5














shape
Quadrilaterals
A closed plane figure with four sides. This means it also has four vertices.
A polygon of four sides.
It has four angles and the sum of the four angles is 360 degrees.
Examples of quadrilaterals are squares, rectangles, and trapezoids.
walking
Which figure is a quadrilateral?

quiz

Page 6

















shape Trapezoids

A closed plane figure.
A four sided figure with one pair of parallel sides.
It has four vertices.

walking
      What can you tell by looking the sides of these trapezoids?

pic
Page 7
















shape
Pentagons
A polygon with fives sidesA regular pentagon has five equal sides and five equal angles. It also has five vertices. Each angle is 108 degrees in a regular pentagon.
walking
 How many pentagons can you find in this picture? Do you see any regular pentagons?

ball

Page 8















BUILDING
Irregular Shapes

 For the most part irregular shapes have no line of symmetry. They are not squares, rectangles, triangle. The number of vertices very depending on the number of sides. The size of the angles can also vary.
walking
Which shape would be classified as an irregular shape?

cube




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sign
Hexagons
A polygon figure with six sides. A regular hexagon has six equal angles, each angle is equal to 120 degrees. It also has six equal sides. Lastly, The hexagon has six vertices.
walking  Not including the blue portion, how many triangles make of one half of a hexagon in this picture?

pic
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Well, hope you enjoyed your walk and I definately
 hope you learned a few things. See ya!

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Scroll Down to See Answers to Questions









Answers

1.a. Blue triangle = right triangle
   b. pink and green triangles = isosleses
   c. yellow triangle = obtuse
2. eight squares
3. the red one is a rectangle
4. figure 1 is a quadrilateral
5. in every trapezoid only two of the four side are equal.
6. five pentagons. No regular pentagons
7. the picture on the left side of the screen is an irregular shape
8. three






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